A New Contraction Family for Porous Medium and Fast Diffusion Equations

Autor:	Ghada Chmaycem, Mustapha Jazar, Régis Monneau
Rok vydání:	2016
Předmět:	Mechanical Engineering 010102 general mathematics Mathematical analysis Complex system 01 natural sciences 010101 applied mathematics Mathematics (miscellaneous) A priori and a posteriori Heat equation 0101 mathematics Porous medium Contraction (operator theory) Analysis Mathematics
Zdroj:	Archive for Rational Mechanics and Analysis. 221:805-815
ISSN:	1432-0673 0003-9527
DOI:	10.1007/s00205-016-0986-y
Popis:	In this paper, we present a surprising two-dimensional contraction family for porous medium and fast diffusion equations. This approach provides new a priori estimates on the solutions, even for the standard heat equation.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::ed940d58713d5bafc00a23b6325044e1 https://doi.org/10.1007/s00205-016-0986-y Zobrazit plný text záznamu Plný text ve formátu PDF